Quick problem I need a hand with please!

(i) In terms of x only, what is the slope of Q as it crosses the line y = x ?

(ii) What is the slope of the line y = x ?

(iii) " In the region x > 1, the graph of Q can only cross the line y = x from below" Is this statement true or false??

My attempt...

(i)= slope = dy/dx = xy = x . x = x2

(ii)= 1

(iii)= TRUE = but the only way i found it to be true is by solving the DE and graphing it which is not allowed by the question. Am i right firstly in saying it is true and if so how would I know this without solving DE??

(i) In terms of x only, what is the slope of Q as it crosses the line y = x ?

(ii) What is the slope of the line y = x ?

(iii) " In the region x > 1, the graph of Q can only cross the line y = x from below" Is this statement true or false??

My attempt...

(i)= slope = dy/dx = xy = x . x = x2

(ii)= 1

(iii)= TRUE = but the only way i found it to be true is by solving the DE and graphing it which is not allowed by the question. Am i right firstly in saying it is true and if so how would I know this without solving DE??

Thanks alot!

Nappy

Simpler, I think. You have already said that, on this line, which is never negative. That is, the graph must cross the line from below because it cannot be decreasing there.